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Finding the Third Proportional to 2,024.44 and 2,690.44

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Solution

The third proportional to 2,024.44 and 2,690.44 is: 3,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.44 : 2,690.44 = 2,690.44 : x
  2. Step 2: Convert to fraction form
    2,024.44/2,690.44 = 2,690.44/x
  3. Step 3: Cross multiply
    2,024.44x = 2,690.44 × 2,690.44
  4. Step 4: Simplify right side
    2,024.44x = 7,238,453.94
  5. Step 5: Solve for x
    x = 7,238,453.94/2,024.44
  6. Step 6: Final answer
    x = 3,575.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.